Publication Cover
Applicable Analysis
An International Journal
Volume 25, 1987 - Issue 1-2
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Original Articles

Generalised multiparameter simple eigenvalues and bifurcation

Pages 55-66 | Received 18 Feb 1987, Published online: 02 May 2007

References

  • Binding , P. 1984 . Perturbation and bifurcation of non-singular multiparametric eigenvalues . Non-linear Anal , 8 : 335 – 352 .
  • Chow , S.N. and Hale , J.K. 1982 . Methods of Bifurcation Theory , New York : Springer-Verlag .
  • Dieudonne , J. 1960 . Foundations of Modern Analysis , New York : Academic Press .
  • Hale , J.K. 1978 . Bifurcation from simple eigenvalues for several parameter families . Non-linear Anal , 2 : 491 – 497 .
  • Kato , T. 1966 . Perturbation Theory for Linear Operators , Berlin : Springer-Berlag .
  • Mc Ghee , D.F. and Roach , G.F. 1981 . The spectrum of multiparameter problems in Hilbert space . Proc. Roy. Soc. Edin , 91A : 31 – 42 .
  • McGhee , D.F. and Sallam , M.H. Simple eigenvalues and bifurcation for a multiparameter problem , Proc. Edin. Math, Soc .
  • Shearer , M. 1978 . On the null space of linear Fredholm operators depending on several parameters . Math. Proc, Camb, Phil. Soc , 84 : 131 – 142 .
  • Turyn , L. 1983 . Perturbation of linked eigenvalue problems . J. Nonlinear Anal , 7 : 35 – 40 .

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